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Finding the Third Proportional to 58,014 and 90,441

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Solution

The third proportional to 58,014 and 90,441 is: 140,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,014 : 90,441 = 90,441 : x
  2. Step 2: Convert to fraction form
    58,014/90,441 = 90,441/x
  3. Step 3: Cross multiply
    58,014x = 90,441 × 90,441
  4. Step 4: Simplify right side
    58,014x = 8,179,574,481
  5. Step 5: Solve for x
    x = 8,179,574,481/58,014
  6. Step 6: Final answer
    x = 140,993.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.